The nutrition lab in Exercise 17 tests the hot dogs again, this time using a sample of 60 reduced sodium frankfurters. The new sample produces a mean of 318 mg of sodium, and the standard deviation is 32 mg.
a) Should this larger sample of hot dogs produce a more accurate estimate of the mean sodium content? Explain.
b) What is the standard error of the mean sodium content?
c) Find and interpret a 95% confidence interval.
d) Food labeling regulations require that any food identified as reduced sodium must have at least 30% less sodium than its regular counterpart. If regular franks average 465 mg of sodium, should this brand be labeled reduced ? Explain, using your confidence interval.